The S.I. unit of speed is `m s^(-1)`

Answer

To prove that the S.I. unit of speed is \( m \, s^{-1} \) (meter per second), we can follow these steps:

### Step 1: Understand the formula for speed
The formula for speed is given by:
\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} \]

### Step 2: Identify the S.I. units for distance and time
- The S.I. unit of distance is **meter (m)**.
- The S.I. unit of time is **second (s)**.

### Step 3: Substitute the S.I. units into the speed formula
Using the S.I. units in the speed formula, we have:
\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{\text{meters (m)}}{\text{seconds (s)}} \]

### Step 4: Write the S.I. unit of speed
This simplifies to:
\[ \text{Speed} = m \, s^{-1} \]

### Conclusion
Thus, we have proven that the S.I. unit of speed is indeed \( m \, s^{-1} \) (meter per second).

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